用分部积分法求∫xln(1+x^2)dx

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/15 07:25:56
用分部积分法求∫xln(1+x^2)dx用分部积分法求∫xln(1+x^2)dx用分部积分法求∫xln(1+x^2)dx∫xln(1+x^2)dx=(1/2)∫ln(1+x^2)d(1+x^2)=(1

用分部积分法求∫xln(1+x^2)dx
用分部积分法求∫xln(1+x^2)dx

用分部积分法求∫xln(1+x^2)dx
∫xln(1+x^2)dx
= (1/2)∫ln(1+x^2)d(1+x^2)
= (1/2)[(ln(1+x^2)(1+x^2))-(1+x^2)]

∫xln(1+x^2)dx
= (1/2)∫ln(1+x^2)d(1+x^2)
= (1/2)[(ln(1+x^2)(1+x^2))-(1+x^2)]